sh to test Ho : p2 0.5 vs. Hị:p<0.5. e hypothesis that Candidate A will not loose the election). Consider a test of the above hypothesis of the form v(X1,..,X„) = 1 or some integer c. Calculate the power of this test and show that it is unction of p for any c€ {0,.…..,n – 1}.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Consider a random sample X1,...,X, of voters who either voted for Candidate A (“X; =
1") or for Candidate B (“X; = 0"). Denote the probability of voting for Candidate A by p.
We wish to test
%3D
Ho : p 2 0.5 vs. H, : p < 0.5.
|(i.e. the hypothesis that Candidate A will not loose the election).
(1) Consider a test of the above hypothesis of the form
v(X1,..., X„) = 1(Ex:
for some integer c. Calculate the power of this test and show that it is a decreasing
function of p for any c € {0, .,n – 1}.
Transcribed Image Text:Consider a random sample X1,...,X, of voters who either voted for Candidate A (“X; = 1") or for Candidate B (“X; = 0"). Denote the probability of voting for Candidate A by p. We wish to test %3D Ho : p 2 0.5 vs. H, : p < 0.5. |(i.e. the hypothesis that Candidate A will not loose the election). (1) Consider a test of the above hypothesis of the form v(X1,..., X„) = 1(Ex: for some integer c. Calculate the power of this test and show that it is a decreasing function of p for any c € {0, .,n – 1}.
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